GCD of 336, 281, 414, 712 Calculator

Given Input numbers are 336, 281, 414, 712

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 336, 281, 414, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 281, 414, 712 is 1.

Therefore, GCD of numbers 336, 281, 414, 712 is 1

Given Input Data is 336, 281, 414, 712

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 281 is 281

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 712 is 2 x 2 x 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(336, 281) = 94416

GCD(336, 281) = ( 336 x 281 ) / 94416

GCD(336, 281) = 94416 / 94416

GCD(336, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 336, 281, 414, 712 is 1

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1. What is the GCD of 336, 281, 414, 712?

GCD of 336, 281, 414, 712 is 1

2. Where do I get the detailed procedure to find GCD of 336, 281, 414, 712?

You can find a detailed procedure to find GCD of 336, 281, 414, 712 on our page.

3. How to find GCD of 336, 281, 414, 712 on a calculator?

You can find the GCD of 336, 281, 414, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.